1005011105 has 64 divisors (see below), whose sum is σ = 1489010688. Its totient is φ = 636345600.

The previous prime is 1005011087. The next prime is 1005011143. The reversal of 1005011105 is 5011105001.

1005011105 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005011105 - 2⁸ = 1005010849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005011105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3821204 + ... + 3821466.

It is an arithmetic number, because the mean of its divisors is an integer number (23265792).

Almost surely, 2^1005011105 is an apocalyptic number.

It is an amenable number.

1005011105 is a deficient number, since it is larger than the sum of its proper divisors (483999583).

1005011105 is a wasteful number, since it uses less digits than its factorization.

1005011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 1005011105 is about 31701.9101159536. The cubic root of 1005011105 is about 1001.6675859447.

Adding to 1005011105 its reverse (5011105001), we get a palindrome (6016116106).

The spelling of 1005011105 in words is "one billion, five million, eleven thousand, one hundred five".